Atkin-Lehner |
2- 3- 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450cr |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
31305468750 = 2 · 3 · 58 · 192 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9263,342267] |
[a1,a2,a3,a4,a6] |
Generators |
[145194:13245:2744] |
Generators of the group modulo torsion |
j |
225020248465/80142 |
j-invariant |
L |
15.682490247315 |
L(r)(E,1)/r! |
Ω |
1.1500007307693 |
Real period |
R |
6.8184696929705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105450f1 |
Quadratic twists by: 5 |